Un résultat de non-existence de solution positive pour une équation elliptique

Xiaomin Zheng

Annales de l'I.H.P. Analyse non linéaire (1990)

  • Volume: 7, Issue: 2, page 91-96
  • ISSN: 0294-1449

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Zheng, Xiaomin. "Un résultat de non-existence de solution positive pour une équation elliptique." Annales de l'I.H.P. Analyse non linéaire 7.2 (1990): 91-96. <http://eudml.org/doc/78217>.

@article{Zheng1990,
author = {Zheng, Xiaomin},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonexistence; first eigenvalue; Dirichlet boundary conditions; positive solutions},
language = {fre},
number = {2},
pages = {91-96},
publisher = {Gauthier-Villars},
title = {Un résultat de non-existence de solution positive pour une équation elliptique},
url = {http://eudml.org/doc/78217},
volume = {7},
year = {1990},
}

TY - JOUR
AU - Zheng, Xiaomin
TI - Un résultat de non-existence de solution positive pour une équation elliptique
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1990
PB - Gauthier-Villars
VL - 7
IS - 2
SP - 91
EP - 96
LA - fre
KW - nonexistence; first eigenvalue; Dirichlet boundary conditions; positive solutions
UR - http://eudml.org/doc/78217
ER -

References

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  1. [1] H. Brézis et L. Nirenberg, Communication personnelle. 
  2. [2] Gidas, Ni et Nirenberg, Symmetry and Related Properties Via the Maximum Principle, Comm. Math. Phys., vol. 68, 1979; p. 209-243. Zbl0425.35020MR544879
  3. [3] K. Mcleod et J. Serrin, Uniqueness of Positive Radial Solution of Δu+f(u)=0 in Rn, Arch. Rat. Mech. Anal., vol. 99, 1987, p. 115-146. Zbl0667.35023MR886933
  4. [4] F. Merle, Sur la non-existence de solutions positives d'équations elliptiques surlinéaires (à paraître). Zbl0696.35062
  5. [5] M. Ramaswamy, On the Global Set of Solutions to a Nonlinear ODE-Theoretical and Numerical Description, J. Diff. Eq., vol. 65, 1986, p. 1-48. Zbl0597.34014MR859471
  6. [6] M. Ramaswamy et P.N. Srikanth, Symmetry Breaking for a Class of Semilinear Elliptics Problems, Trans. of A.M.S. (à paraître). Zbl0644.35010
  7. [7] J. Smoller et A. Wasserman, Existence Uniqueness and Nondegeneracy of Positive Solutions of Semilinear Elliptic Equations, Comm. Math. Phys., vol. 95, 1984, p. 129- 159. Zbl0582.35046MR760329
  8. [8] J. Serrin, A Symmetry Problem in Potential Theory, Arch. Rat. Mech. Anal., vol. 43, 1971, p. 304-318. Zbl0222.31007MR333220

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